Asymptotic formulas for the error in linear interpolation
M. Beśka, K. Dziedziul (2005)
Banach Center Publications
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We give the asymptotic formula for the error in linear interpolation with arbitrary knots.
Displaying similar documents to “On the interpolation constants over triangular elements”
Asymptotic formulas for the error in linear interpolation
Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle
Philippe G. Ciarlet (1977)
Publications mathématiques et informatique de Rennes
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Anisotropic interpolation error estimates via orthogonal expansions
Mingxia Li, Shipeng Mao (2013)
Open Mathematics
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We prove anisotropic interpolation error estimates for quadrilateral and hexahedral elements with all possible shape function spaces, which cover the intermediate families, tensor product families and serendipity families. Moreover, we show that the anisotropic interpolation error estimates hold for derivatives of any order. This goal is accomplished by investigating an interpolation defined via orthogonal expansions.